Original Prompti need a reference sheet/visual with a checklist on how to solve each of these types (NO PRACTICE PROBLEMS) -
A system of equations is when two or more equations and variables relate to the same scenario. When adding two equations together causes one of the variables to cancel completely, the system can be solved using Elimination.
Ex: 2x + y = 50 and 4x – y = 70
Add the equations:
2x + y = 50
+ 4x – y = 70
6x +0y = 120
6x = 120
This document outlines the methods for solving systems of linear equations, focusing on two primary techniques: elimination and substitution. It describes the step-by-step process for the elimination method, which involves aligning variables, eliminating one via addition or subtraction, and then solving for the second variable. Additionally, it provides instructions for the elimination method with multiplication when coefficients do not match, requiring adjustments through multiplication. The substitution method is also covered, detailing how to identify a lone variable, substitute it into the other equation, and solve for the remaining variable. Examples are included to illustrate both methods effectively.